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        <p id="owner"><a name="scalation" class="extype" href="../package.html">scalation</a>.<a name="scalation.random" class="extype" href="package.html">random</a></p>
        <h1>Beta</h1>
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      <h4 class="signature" id="signature">
      <span class="kind">case class</span>
      <span class="symbol"> 
        <span class="name">Beta</span>
        
        <span class="params">(<span name="alpha">alpha: <span name="scala.Double" class="extype">Double</span></span>, <span name="beta">beta: <span name="scala.Double" class="extype">Double</span></span>, <span name="stream">stream: <span name="scala.Int" class="extype">Int</span></span>)</span><span class="result"> extends <a name="scalation.random.Variate" class="extype" href="Variate.html">Variate</a> with <span name="scala.Product" class="extype">Product</span> with <span name="scala.Serializable" class="extype">Serializable</span></span>
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          <div class="fullcommenttop" id="comment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
This class generates Beta random variates.
This continuous RV models random proportions.
Beta =  Gamma1 / (Gamma1 + Gamma2).</p></div><dl class="paramcmts block"><dt class="param">alpha</dt><dd class="cmt"><p>the shape parameter for Gamma1</p></dd><dt class="param">beta</dt><dd class="cmt"><p>the shape parameter for Gamma2</p></dd><dt class="param">stream</dt><dd class="cmt"><p>the random number stream
</p></dd></dl><div class="toggleContainer block">
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                <ol id="linearization"><li name="scalation.random.Beta" class="in"><span>Beta</span></li><li name="scala.Serializable" class="in"><span>Serializable</span></li><li name="java.io.Serializable" class="in"><span>Serializable</span></li><li name="scala.Product" class="in"><span>Product</span></li><li name="scala.Equals" class="in"><span>Equals</span></li><li name="scalation.random.Variate" class="in"><span>Variate</span></li><li name="scalation.math.Combinatorics" class="in"><span>Combinatorics</span></li><li name="scalation.util.Error" class="in"><span>Error</span></li><li name="scala.AnyRef" class="in"><span>AnyRef</span></li><li name="scala.Any" class="in"><span>Any</span></li></ol>
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              <h3>Instance Constructors</h3>
              <ol><li visbl="pub" name="scalation.random.Beta#this" data-isabs="false">
      <a id="this:Beta"></a>
      <h4 class="signature">
      <span class="kind">new</span>
      <span class="symbol"> 
        <span class="name">Beta</span>
        
        <span class="params">(<span name="alpha">alpha: <span name="scala.Double" class="extype">Double</span></span>, <span name="beta">beta: <span name="scala.Double" class="extype">Double</span></span>, <span name="stream">stream: <span name="scala.Int" class="extype">Int</span></span>)</span>
      </span>
      </h4>
      <p class="shortcomment cmt"></p><div class="fullcomment"><div class="comment cmt"></div><dl class="paramcmts block"><dt class="param">alpha</dt><dd class="cmt"><p>the shape parameter for Gamma1</p></dd><dt class="param">beta</dt><dd class="cmt"><p>the shape parameter for Gamma2</p></dd><dt class="param">stream</dt><dd class="cmt"><p>the random number stream
</p></dd></dl></div>
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              <h3>Value Members</h3>
              <ol><li visbl="pub" name="scala.AnyRef#!=" data-isabs="false">
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        <span class="name">!=</span>
        
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      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef</dd></dl></div>
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      <span class="kind">def</span>
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        <span class="name">!=</span>
        
        <span class="params">(<span name="arg0">arg0: <span name="scala.Any" class="extype">Any</span></span>)</span><span class="result">: <span name="scala.Boolean" class="extype">Boolean</span></span>
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      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>Any</dd></dl></div>
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      <a id="##():Int"></a>
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      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">##</span>
        
        <span class="params">()</span><span class="result">: <span name="scala.Int" class="extype">Int</span></span>
      </span>
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      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef → Any</dd></dl></div>
    </li><li visbl="pub" name="scala.AnyRef#==" data-isabs="false">
      <a id="==(AnyRef):Boolean"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">==</span>
        
        <span class="params">(<span name="arg0">arg0: AnyRef</span>)</span><span class="result">: <span name="scala.Boolean" class="extype">Boolean</span></span>
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      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef</dd></dl></div>
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      <a id="==(Any):Boolean"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">==</span>
        
        <span class="params">(<span name="arg0">arg0: <span name="scala.Any" class="extype">Any</span></span>)</span><span class="result">: <span name="scala.Boolean" class="extype">Boolean</span></span>
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      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>Any</dd></dl></div>
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      <a id="EPSILON:Double"></a>
      <h4 class="signature">
      <span class="kind">val</span>
      <span class="symbol"> 
        <span class="name">EPSILON</span>
        
        <span class="result">: <span name="scala.Double" class="extype">Double</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">Tolerance for real number comparisons
</p><div class="fullcomment"><div class="comment cmt"><p>Tolerance for real number comparisons
</p></div><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.math.Combinatorics" class="extype" href="../math/Combinatorics.html">Combinatorics</a></dd></dl></div>
    </li><li visbl="pub" name="scalation.math.Combinatorics#SQRT_PI" data-isabs="false">
      <a id="SQRT_PI:Double"></a>
      <h4 class="signature">
      <span class="kind">val</span>
      <span class="symbol"> 
        <span class="name">SQRT_PI</span>
        
        <span class="result">: <span name="scala.Double" class="extype">Double</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">Sqaure root of Pi
</p><div class="fullcomment"><div class="comment cmt"><p>Sqaure root of Pi
</p></div><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.math.Combinatorics" class="extype" href="../math/Combinatorics.html">Combinatorics</a></dd></dl></div>
    </li><li visbl="prt" name="scalation.random.Variate#_discrete" data-isabs="false">
      <a id="_discrete:Boolean"></a>
      <h4 class="signature">
      <span class="kind">var</span>
      <span class="symbol"> 
        <span class="name">_discrete</span>
        
        <span class="result">: <span name="scala.Boolean" class="extype">Boolean</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">Indicates whether the distribution is discrete or continuous (default)
</p><div class="fullcomment"><div class="comment cmt"><p>Indicates whether the distribution is discrete or continuous (default)
</p></div><dl class="attributes block"> <dt>Attributes</dt><dd>protected </dd><dt>Definition Classes</dt><dd><a name="scalation.random.Variate" class="extype" href="Variate.html">Variate</a></dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Beta#alpha" data-isabs="false">
      <a id="alpha:Double"></a>
      <h4 class="signature">
      <span class="kind">val</span>
      <span class="symbol"> 
        <span class="name">alpha</span>
        
        <span class="result">: <span name="scala.Double" class="extype">Double</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">the shape parameter for Gamma1</p>
    </li><li visbl="pub" name="scalation.math.Combinatorics#approx" data-isabs="false">
      <a id="approx(Double,Double):Boolean"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">approx</span>
        
        <span class="params">(<span name="x">x: <span name="scala.Double" class="extype">Double</span></span>, <span name="y">y: <span name="scala.Double" class="extype">Double</span></span>)</span><span class="result">: <span name="scala.Boolean" class="extype">Boolean</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Return true if x == y approximately.</p><div class="fullcomment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Return true if x == y approximately.</p></div><dl class="paramcmts block"><dt class="param">x</dt><dd class="cmt"><p>the first value to compare</p></dd><dt class="param">y</dt><dd class="cmt"><p>the second value to compare
</p></dd></dl><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.math.Combinatorics" class="extype" href="../math/Combinatorics.html">Combinatorics</a></dd></dl></div>
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      <a id="asInstanceOf[T0]:T0"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">asInstanceOf</span>
        <span class="tparams">[<span name="T0">T0</span>]</span>
        <span class="result">: T0</span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>Any</dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Beta#beta" data-isabs="false">
      <a id="beta:Double"></a>
      <h4 class="signature">
      <span class="kind">val</span>
      <span class="symbol"> 
        <span class="name">beta</span>
        
        <span class="result">: <span name="scala.Double" class="extype">Double</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">the shape parameter for Gamma2</p>
    </li><li visbl="pub" name="scalation.math.Combinatorics#betaF" data-isabs="false">
      <a id="betaF(Double,Double):Double"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">betaF</span>
        
        <span class="params">(<span name="k1">k1: <span name="scala.Double" class="extype">Double</span></span>, <span name="k2">k2: <span name="scala.Double" class="extype">Double</span></span>)</span><span class="result">: <span name="scala.Double" class="extype">Double</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute the beta function for the following two cases:
(1) when k1, k2 are integers and (2) when k1, k2 are integers + 1/2.</p><div class="fullcomment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute the beta function for the following two cases:
(1) when k1, k2 are integers and (2) when k1, k2 are integers + 1/2.</p></div><dl class="paramcmts block"><dt class="param">k1</dt><dd class="cmt"><p>the first argument to the beta function</p></dd><dt class="param">k2</dt><dd class="cmt"><p>the second argument to the beta function
</p></dd></dl><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.math.Combinatorics" class="extype" href="../math/Combinatorics.html">Combinatorics</a></dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Beta#canEqual" data-isabs="false">
      <a id="canEqual(Any):Boolean"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">canEqual</span>
        
        <span class="params">(<span name="arg0">arg0: <span name="scala.Any" class="extype">Any</span></span>)</span><span class="result">: <span name="scala.Boolean" class="extype">Boolean</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Beta" class="extype" href="">Beta</a> → Equals</dd></dl></div>
    </li><li visbl="pub" name="scalation.math.Combinatorics#choose" data-isabs="false">
      <a id="choose(Long,Long):Long"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">choose</span>
        
        <span class="params">(<span name="n">n: <span name="scala.Long" class="extype">Long</span></span>, <span name="k">k: <span name="scala.Long" class="extype">Long</span></span>)</span><span class="result">: <span name="scala.Long" class="extype">Long</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute n choose k (combinations).</p><div class="fullcomment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute n choose k (combinations).</p></div><dl class="paramcmts block"><dt class="param">n</dt><dd class="cmt"><p>the total number of items</p></dd><dt class="param">k</dt><dd class="cmt"><p>the of items to choose
</p></dd></dl><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.math.Combinatorics" class="extype" href="../math/Combinatorics.html">Combinatorics</a></dd></dl></div>
    </li><li visbl="prt" name="scala.AnyRef#clone" data-isabs="false">
      <a id="clone():AnyRef"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">clone</span>
        
        <span class="params">()</span><span class="result">: AnyRef</span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>protected[<a name="java.lang" class="extype" href="../../java/lang/package.html">lang</a>] </dd><dt>Definition Classes</dt><dd>AnyRef</dd><dt>Annotations</dt><dd>
                <span class="name">@throws</span><span class="args">()</span>
              
        </dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Variate#discrete" data-isabs="false">
      <a id="discrete:Boolean"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">discrete</span>
        
        <span class="result">: <span name="scala.Boolean" class="extype">Boolean</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Determine whether the distribution is discrete or continuous.</p><div class="fullcomment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Determine whether the distribution is discrete or continuous.
</p></div><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Variate" class="extype" href="Variate.html">Variate</a></dd></dl></div>
    </li><li visbl="pub" name="scala.AnyRef#eq" data-isabs="false">
      <a id="eq(AnyRef):Boolean"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">eq</span>
        
        <span class="params">(<span name="arg0">arg0: AnyRef</span>)</span><span class="result">: <span name="scala.Boolean" class="extype">Boolean</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef</dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Beta#equals" data-isabs="false">
      <a id="equals(Any):Boolean"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">equals</span>
        
        <span class="params">(<span name="arg0">arg0: <span name="scala.Any" class="extype">Any</span></span>)</span><span class="result">: <span name="scala.Boolean" class="extype">Boolean</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Beta" class="extype" href="">Beta</a> → Equals → AnyRef → Any</dd></dl></div>
    </li><li visbl="pub" name="scalation.math.Combinatorics#fac" data-isabs="false">
      <a id="fac(Long):Long"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">fac</span>
        
        <span class="params">(<span name="k">k: <span name="scala.Long" class="extype">Long</span></span>)</span><span class="result">: <span name="scala.Long" class="extype">Long</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute k! (k factorial).</p><div class="fullcomment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute k! (k factorial).</p></div><dl class="paramcmts block"><dt class="param">k</dt><dd class="cmt"><p>the argument to the factorial function
</p></dd></dl><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.math.Combinatorics" class="extype" href="../math/Combinatorics.html">Combinatorics</a></dd></dl></div>
    </li><li visbl="prt" name="scala.AnyRef#finalize" data-isabs="false">
      <a id="finalize():Unit"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">finalize</span>
        
        <span class="params">()</span><span class="result">: <span name="scala.Unit" class="extype">Unit</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>protected[<a name="java.lang" class="extype" href="../../java/lang/package.html">lang</a>] </dd><dt>Definition Classes</dt><dd>AnyRef</dd><dt>Annotations</dt><dd>
                <span class="name">@throws</span><span class="args">()</span>
              
        </dd></dl></div>
    </li><li visbl="pub" name="scalation.util.Error#flaw" data-isabs="false">
      <a id="flaw(String,String):Unit"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">flaw</span>
        
        <span class="params">(<span name="method">method: String</span>, <span name="message">message: String</span>)</span><span class="result">: <span name="scala.Unit" class="extype">Unit</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Show the flaw by printing the error message.</p><div class="fullcomment"><div class="comment cmt"><p>:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Show the flaw by printing the error message.</p></div><dl class="paramcmts block"><dt class="param">method</dt><dd class="cmt"><p>the method where the error occured</p></dd><dt class="param">message</dt><dd class="cmt"><p>the error message
</p></dd></dl><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.util.Error" class="extype" href="../util/Error.html">Error</a></dd></dl></div>
    </li><li visbl="pub" name="scalation.math.Combinatorics#gammaF" data-isabs="false">
      <a id="gammaF(Double):Double"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">gammaF</span>
        
        <span class="params">(<span name="k">k: <span name="scala.Double" class="extype">Double</span></span>)</span><span class="result">: <span name="scala.Double" class="extype">Double</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute the gamma function for the following two cases:
(1) when k is an integer and (2) when k is an integer + 1/2.</p><div class="fullcomment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute the gamma function for the following two cases:
(1) when k is an integer and (2) when k is an integer + 1/2.</p></div><dl class="paramcmts block"><dt class="param">k</dt><dd class="cmt"><p>the argument to the gamma function
</p></dd></dl><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.math.Combinatorics" class="extype" href="../math/Combinatorics.html">Combinatorics</a></dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Beta#gen" data-isabs="false">
      <a id="gen:Double"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">gen</span>
        
        <span class="result">: <span name="scala.Double" class="extype">Double</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Determine the next random number for the particular distribution.</p><div class="fullcomment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Determine the next random number for the particular distribution.
</p></div><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Beta" class="extype" href="">Beta</a> → <a name="scalation.random.Variate" class="extype" href="Variate.html">Variate</a></dd></dl></div>
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      <a id="getClass():java.lang.Class[_]"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">getClass</span>
        
        <span class="params">()</span><span class="result">: java.lang.Class[_]</span>
      </span>
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      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef</dd></dl></div>
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      <a id="hashCode():Int"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">hashCode</span>
        
        <span class="params">()</span><span class="result">: <span name="scala.Int" class="extype">Int</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Beta" class="extype" href="">Beta</a> → AnyRef → Any</dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Variate#igen" data-isabs="false">
      <a id="igen:Int"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">igen</span>
        
        <span class="result">: <span name="scala.Int" class="extype">Int</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Determine the next random integer for the particular distribution.</p><div class="fullcomment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Determine the next random integer for the particular distribution.
It is only valid for discrete random variates.
</p></div><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Variate" class="extype" href="Variate.html">Variate</a></dd></dl></div>
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      <a id="isInstanceOf[T0]:Boolean"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">isInstanceOf</span>
        <span class="tparams">[<span name="T0">T0</span>]</span>
        <span class="result">: <span name="scala.Boolean" class="extype">Boolean</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>Any</dd></dl></div>
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      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">mean</span>
        
        <span class="result">: <span name="scala.Double" class="extype">Double</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute the mean for the particular distribution.</p><div class="fullcomment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute the mean for the particular distribution.
</p></div><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Beta" class="extype" href="">Beta</a> → <a name="scalation.random.Variate" class="extype" href="Variate.html">Variate</a></dd></dl></div>
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      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">ne</span>
        
        <span class="params">(<span name="arg0">arg0: AnyRef</span>)</span><span class="result">: <span name="scala.Boolean" class="extype">Boolean</span></span>
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      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef</dd></dl></div>
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      <a id="notify():Unit"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">notify</span>
        
        <span class="params">()</span><span class="result">: <span name="scala.Unit" class="extype">Unit</span></span>
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      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef</dd></dl></div>
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      <a id="notifyAll():Unit"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">notifyAll</span>
        
        <span class="params">()</span><span class="result">: <span name="scala.Unit" class="extype">Unit</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef</dd></dl></div>
    </li><li visbl="pub" name="scalation.math.Combinatorics#perm" data-isabs="false">
      <a id="perm(Long,Long):Long"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">perm</span>
        
        <span class="params">(<span name="n">n: <span name="scala.Long" class="extype">Long</span></span>, <span name="k">k: <span name="scala.Long" class="extype">Long</span></span>)</span><span class="result">: <span name="scala.Long" class="extype">Long</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute permuations of k items selected from n total items.</p><div class="fullcomment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute permuations of k items selected from n total items.</p></div><dl class="paramcmts block"><dt class="param">n</dt><dd class="cmt"><p>the total number of items</p></dd><dt class="param">k</dt><dd class="cmt"><p>the of items selected
</p></dd></dl><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.math.Combinatorics" class="extype" href="../math/Combinatorics.html">Combinatorics</a></dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Beta#pf" data-isabs="false">
      <a id="pf(Double):Double"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">pf</span>
        
        <span class="params">(<span name="z">z: <span name="scala.Double" class="extype">Double</span></span>)</span><span class="result">: <span name="scala.Double" class="extype">Double</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute the probability function (pf):
The probability density function (pdf) for continuous RV's or
the probability mass function (pmf) for discrete RV's.</p><div class="fullcomment"><div class="comment cmt"><p>::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Compute the probability function (pf):
The probability density function (pdf) for continuous RV's or
the probability mass function (pmf) for discrete RV's.
</p></div><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Beta" class="extype" href="">Beta</a> → <a name="scalation.random.Variate" class="extype" href="Variate.html">Variate</a></dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Beta#productArity" data-isabs="false">
      <a id="productArity:Int"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">productArity</span>
        
        <span class="result">: <span name="scala.Int" class="extype">Int</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Beta" class="extype" href="">Beta</a> → Product</dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Beta#productElement" data-isabs="false">
      <a id="productElement(Int):Any"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">productElement</span>
        
        <span class="params">(<span name="arg0">arg0: <span name="scala.Int" class="extype">Int</span></span>)</span><span class="result">: <span name="scala.Any" class="extype">Any</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Beta" class="extype" href="">Beta</a> → Product</dd></dl></div>
    </li><li visbl="pub" name="scala.Product#productIterator" data-isabs="false">
      <a id="productIterator:Iterator[Any]"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">productIterator</span>
        
        <span class="result">: Iterator[<span name="scala.Any" class="extype">Any</span>]</span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Definition Classes</dt><dd>Product</dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Beta#productPrefix" data-isabs="false">
      <a id="productPrefix:String"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">productPrefix</span>
        
        <span class="result">: <span name="java.lang.String" class="extype">String</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Beta" class="extype" href="">Beta</a> → Product</dd></dl></div>
    </li><li visbl="prt" name="scalation.random.Variate#r" data-isabs="false">
      <a id="r:Random"></a>
      <h4 class="signature">
      <span class="kind">val</span>
      <span class="symbol"> 
        <span class="name">r</span>
        
        <span class="result">: <a name="scalation.random.Random" class="extype" href="Random.html">Random</a></span>
      </span>
      </h4>
      <p class="shortcomment cmt">Random number stream selected by the stream number
</p><div class="fullcomment"><div class="comment cmt"><p>Random number stream selected by the stream number
</p></div><dl class="attributes block"> <dt>Attributes</dt><dd>protected </dd><dt>Definition Classes</dt><dd><a name="scalation.random.Variate" class="extype" href="Variate.html">Variate</a></dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Beta#stream" data-isabs="false">
      <a id="stream:Int"></a>
      <h4 class="signature">
      <span class="kind">val</span>
      <span class="symbol"> 
        <span class="name">stream</span>
        
        <span class="result">: <span name="scala.Int" class="extype">Int</span></span>
      </span>
      </h4>
      <p class="shortcomment cmt">the random number stream
</p>
    </li><li visbl="pub" name="scala.AnyRef#synchronized" data-isabs="false">
      <a id="synchronized[T0](⇒ T0):T0"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">synchronized</span>
        <span class="tparams">[<span name="T0">T0</span>]</span>
        <span class="params">(<span name="arg0">arg0: ⇒ T0</span>)</span><span class="result">: T0</span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef</dd></dl></div>
    </li><li visbl="pub" name="scalation.random.Beta#toString" data-isabs="false">
      <a id="toString():String"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">toString</span>
        
        <span class="params">()</span><span class="result">: String</span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Definition Classes</dt><dd><a name="scalation.random.Beta" class="extype" href="">Beta</a> → AnyRef → Any</dd></dl></div>
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      <a id="wait():Unit"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">wait</span>
        
        <span class="params">()</span><span class="result">: <span name="scala.Unit" class="extype">Unit</span></span>
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      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef</dd><dt>Annotations</dt><dd>
                <span class="name">@throws</span><span class="args">()</span>
              
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      <a id="wait(Long,Int):Unit"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">wait</span>
        
        <span class="params">(<span name="arg0">arg0: <span name="scala.Long" class="extype">Long</span></span>, <span name="arg1">arg1: <span name="scala.Int" class="extype">Int</span></span>)</span><span class="result">: <span name="scala.Unit" class="extype">Unit</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef</dd><dt>Annotations</dt><dd>
                <span class="name">@throws</span><span class="args">()</span>
              
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      <a id="wait(Long):Unit"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name">wait</span>
        
        <span class="params">(<span name="arg0">arg0: <span name="scala.Long" class="extype">Long</span></span>)</span><span class="result">: <span name="scala.Unit" class="extype">Unit</span></span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Attributes</dt><dd>final </dd><dt>Definition Classes</dt><dd>AnyRef</dd><dt>Annotations</dt><dd>
                <span class="name">@throws</span><span class="args">()</span>
              
        </dd></dl></div>
    </li><li visbl="pub" name="scala.Product#productElements" data-isabs="false">
      <a id="productElements:Iterator[Any]"></a>
      <h4 class="signature">
      <span class="kind">def</span>
      <span class="symbol"> 
        <span class="name deprecated">productElements</span>
        
        <span class="result">: Iterator[<span name="scala.Any" class="extype">Any</span>]</span>
      </span>
      </h4>
      <div class="fullcomment"><dl class="attributes block"> <dt>Definition Classes</dt><dd>Product</dd><dt>Annotations</dt><dd>
                <span class="name">@deprecated</span>
              
        </dd><dt>Deprecated</dt><dd class="cmt"><p>use productIterator instead</p></dd></dl></div>
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              <h3>Inherited from <span name="scala.Product" class="extype">Product</span></h3>
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              <h3>Inherited from <span name="scala.Equals" class="extype">Equals</span></h3>
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              <h3>Inherited from <a name="scalation.util.Error" class="extype" href="../util/Error.html">Error</a></h3>
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              <h3>Inherited from AnyRef</h3>
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